The embodiment of the invention discloses an asynchronous oscillation suppression method of an separately controlled doubly fed electric machine and a doubly fed electric machine system of the asynchronous oscillation suppression method. The method comprises the steps that active power of a rotor of the electric machine is calculated; an oscillating component of the active power is extracted from the active power; a slip frequency compensation quantity is calculated according to the oscillating component; slip frequency of the electric machine is compensated through the slip frequency compensation quantity. According to the asynchronous oscillation suppression method of the separately controlled doubly fed electric machine and the doubly fed electric machine system of the asynchronous oscillation suppression method, the slip frequency compensation quantity of the electric machine is calculated according to the oscillating component of the active power of the rotor and used for conducting compensation on the slip frequency, system damping is increased, stability of the system and rapidity of a response are improved, and the inherent unstable problems such as out-of-step which is prone to occurrence and overcurrent of a separately controlled doubly fed speed regulating system are solved.